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3340680 = 233574197
BaseRepresentation
bin1100101111100110001000
320021201112220
430233212020
51323400210
6155334040
740252410
oct14574610
96251486
103340680
1119819a2
121151320
138cc745
1462d640
1545ec70
hex32f988

3340680 has 128 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 737280.

The previous prime is 3340679. The next prime is 3340691. The reversal of 3340680 is 860433.

3340680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33406802 = 22320285724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3340680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34392 + ... + 34488.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

Almost surely, 23340680 is an apocalyptic number.

3340680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3340680 is an abundant number, since it is smaller than the sum of its proper divisors (8513400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3340680 is a wasteful number, since it uses less digits than its factorization.

3340680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3340680 is about 1827.7527185043. The cubic root of 3340680 is about 149.4898223143.

The spelling of 3340680 in words is "three million, three hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 97 105 120 123 140 164 168 194 205 210 246 280 287 291 328 388 410 420 485 492 574 582 615 679 776 820 840 861 970 984 1148 1164 1230 1358 1435 1455 1640 1722 1940 2037 2296 2328 2460 2716 2870 2910 3395 3444 3880 3977 4074 4305 4920 5432 5740 5820 6790 6888 7954 8148 8610 10185 11480 11640 11931 13580 15908 16296 17220 19885 20370 23862 27160 27839 31816 34440 39770 40740 47724 55678 59655 79540 81480 83517 95448 111356 119310 139195 159080 167034 222712 238620 278390 334068 417585 477240 556780 668136 835170 1113560 1670340 3340680